Victoria resumed on Tuesday at 4-103 and were all out for 144 just 90 minutes into the morning session.

Opener Marcus Harris top-scored for Victoria with 86 to keep his name in the mix for Ashes selection.

Harris bolsters Test hopes with fine knock

Harris, who made a century against South Australia last week, would likely be among the contenders to replace Matthew Renshaw should he struggle in the first two Ashes Tests.

Glenn Maxwell was earlier dismissed for four while Aaron Finch and Test batsman Peter Handscomb both made ducks.

Ashes race heats up in crucial Shield round

Tasmanian coach Adam Griffith was pleased with the improved patience and resolve of his batsmen after a poor first-innings performance.

"This group's coming from a long way back for the last little bit so we're not taking anything for granted," he said.

"We're going to have play some really, really good cricket tomorrow, firstly with the bat to give ourselves an opportunity and then we're going to have bowl really well on what looks a pretty good wicket."